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5425010224000 = 27531093110671
BaseRepresentation
bin100111011110001101111…
…0011101010101110000000
3201012121220021211111220121
41032330123303222232000
51202340410104132000
615312114300350024
71066641545026123
oct116743363525600
921177807744817
105425010224000
111801808929374
127374a0b45314
133047650a8603
1414a8013d43ba
15961b4b5bb1a
hex4ef1bceab80

5425010224000 has 128 divisors (see below), whose sum is σ = 13611678537600. Its totient is φ = 2150095104000.

The previous prime is 5425010223937. The next prime is 5425010224031. The reversal of 5425010224000 is 4220105245.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188665 + ... + 3299335.

It is an arithmetic number, because the mean of its divisors is an integer number (106341238575).

Almost surely, 25425010224000 is an apocalyptic number.

5425010224000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5425010224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805839268800).

5425010224000 is an abundant number, since it is smaller than the sum of its proper divisors (8186668313600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5425010224000 is a wasteful number, since it uses less digits than its factorization.

5425010224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110809 (or 3110787 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 5425010224000 its reverse (4220105245), we get a palindrome (5429230329245).

The spelling of 5425010224000 in words is "five trillion, four hundred twenty-five billion, ten million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 128 160 200 218 250 320 400 436 500 545 640 800 872 1000 1090 1600 1744 2000 2180 2725 3200 3488 4000 4360 5450 6976 8000 8720 10900 13625 13952 16000 17440 21800 27250 34880 43600 54500 69760 87200 109000 174400 218000 348800 436000 872000 1744000 3110671 6221342 12442684 15553355 24885368 31106710 49770736 62213420 77766775 99541472 124426840 155533550 199082944 248853680 311067100 339063139 388833875 398165888 497707360 622134200 678126278 777667750 995414720 1244268400 1356252556 1555335500 1695315695 1990829440 2488536800 2712505112 3110671000 3390631390 4977073600 5425010224 6221342000 6781262780 8476578475 9954147200 10850020448 12442684000 13562525560 16953156950 21700040896 24885368000 27125051120 33906313900 42382892375 43400081792 49770736000 54250102240 67812627800 84765784750 108500204480 135625255600 169531569500 217000408960 271250511200 339063139000 542501022400 678126278000 1085002044800 1356252556000 2712505112000 5425010224000